Answer:
y = 5x - 14
Explanation:
*Parallel lines have the same slopes*
Rewrite your equation to slope-intercept form: y = mx + b
y = mx + b
- m = slope
- b = y-intercept (when x = 0)
y - 5x = 10 <== add 5x to both sides
+ 5x + 5x
y = 5x + 10
The slope of the line that is parallel to this line is 5.
We need to find the y-intercept (b) for the parallel line using (2, -4):
y = 5x + b <== substitue 2 for x and -4 for y
-4 = 5(2) + b
-4 = 10 + b <== subtract 10 from both sides to isolate b
-10 -10
-14 = b
y = 5x + b changes to y = 5x - 14
Hope this helps!